Question

A store sells 25% of its stock of books in thefirst week it is open. If the store sold 256books, how many books were in its stockoriginally?

Answer 1

Let the total books in the stock be = x

The percentage of books sold =25%

The number of books sold=256

We will calculate the number of books originally in the store using the relation below

$\begin{gathered} \text{percentage of books sold=}\frac{Number\text{ of books sold}}{total\text{ number of books}}\times100 \\ 25=\frac{256}{x}\times100 \\ 25=\frac{25600}{x} \\ by\text{ cross multiplying we will } \\ 25x=25600 \\ \frac{25x}{25}=\frac{25600}{25} \\ x=1024\text{ books} \end{gathered}$

Therefore,

The total number of books in stock originally is =1024 books